Mathematical models arising from a survey of ferromagnetic materials under magnetisation

Ab This paper focuses on mathematical models describing the mechanical behavior of ferromagnetic materials under magnetization. Through combination of the electromagnetic field theory with the theory of elastic mechanics, several nonlinear systems of fourth-order partial differential equations were deduced. By making further assumption, the first-order approximation of the above equations was established, of which the solutions are good enough for engineering application.     

Elastic and Damage Longitudinal Shear Behavior of Highly Concentrated Long Fiber Composites

The elastic and damage longitudinal shear behavior of highly concentrated long fiber composites is analyzed by means of a simplified model where it is supposed that the fibers are rigid and touch each other in a regular hexagonal array. In the microscopic unit cell the problem is reduced to six similar problems of antiplane deformation on an equilateral circular triangle (see forthcoming Figure 2). These problems are solved in closed form by the complex variable method, and the solution is used to determine the longitudinal shear moduli, and to study their dependence on the microscopic damage caused by the circumferential debonding at the fiber–matrix interface. Subsequently, the damage evolution is investigated under the hypothesis that the microcracks propagate according to the Griffiths energy criterion. The elastic domain, where there is no damage propagation, is determined and it is shown that it is a polygonal convex set symmetric with respect to the origin. The overall damage evolution is discussed in detail and illustrated with some examples which highlight the very rich nature of the proposed model.     

La_2O_3和WSi_2增强MoSi_2基复合材料的摩擦磨损性能研究

选用MRH-5A型环-块摩擦磨损试验机测定了3种载荷和2种转速条件下La2O3和WSi2增强MoSi2基复合材料在滑动干摩擦时的摩擦磨损性能,采用扫描电子显微镜分析了复合材料磨损表面形貌.结果表明:La2O3和WSi2增强MoSi2基复合材料的抗磨性能优于MoSi2及WSi2/MoSi2材料;当载荷与速度乘积(pv)值小于183.04N·m/s时,La2O3和WSi2增强MoSi2基复合材料的磨损质量损失仅为相同条件下MoSi2的1/4～1/6和WSi2/MoSi2的1/2;这是由于La2O3和WSi2复合增强相存在硬化和韧化协同作用所致;随着pv值增加,La2O3和WSi2增强MoSi2基复合材料依次呈现犁削、粘着磨损和疲劳磨损特征.     

Micromechanics, macromechanics and constitutive modeling of the elasto-viscoplastic deformation of rubber-toughened glassy polymers

Under certain conditions, such as sufficiently low temperatures, high loading rates and/or highly triaxial stress states, glassy polymers display an unfavorable characteristic—brittleness. A technique used for reducing the brittleness (increasing the fracture toughness) of these materials is rubber toughening. While there is significant qualitative understanding of the mechanical behavior of rubber-toughened polymers, quantitative modeling tools for the large-strain deformation of rubber-toughened glassy polymers are largely lacking.In this paper, we develop a suite of numerical tools to investigate the mechanical behavior of rubber-toughened glassy polymers, with emphasis on rubber-toughened polycarbonate. The rubber particles are modeled as voids in view of their deformation-induced cavitation early during deformation. A three-dimensional micromechanical model of the heterogeneous microstructure is developed to study the effects of initial rubber particle (void) volume fraction on the underlying elasto-viscoplastic deformation mechanisms in the material, and how these mechanisms influence the macroscopic response of the material. A continuum-level constitutive model is developed for the large-strain elasto-viscoplastic deformation of porous glassy polymers, and it is calibrated against micromechanical modeling results for porous polycarbonate. The constitutive model can be used to study various boundary value problems involving rubber-toughened (porous) glassy polymers. As an example, the case of an axisymmetric notched bar is simulated for the case of polycarbonate with varying levels of initial porosity. The quality of the constitutive model calibration is assessed using a multi-scale modeling approach.     

Model identification and FE simulations: Effect of different yield loci and hardening laws in sheet forming

The bi-axial experimental equipment [Flores, P., Rondia, E., Habraken, A.M., 2005a. Development of an experimental equipment for the identification of constitutive laws (Special Issue). International Journal of Forming Processes] developed by Flores enables to perform Bauschinger shear tests and successive or simultaneous simple shear tests and plane strain tests. Flores investigates the material behavior with the help of classical tensile tests and the ones performed in his bi-axial machine in order to identify the yield locus and the hardening model. With tests performed on one steel grade, the methods applied to identify classical yield surfaces such as [Hill, R., 1948. A theory of the yielding and plastic flow of anisotropic materials. Proceedings of the Royal Society of London A 193, 281–297; Hosford, W.F., 1979. On yield loci of anisotropic cubic metals. In: Proceedings of the 7th North American Metalworking Conf. (NMRC), SME, Dearborn, MI, pp. 191–197] ones as well as isotropic Swift type hardening, kinematic Armstrong–Frederick or Teodosiu and Hu hardening models are explained. Comparison with the Taylor–Bishop–Hill yield locus is also provided. The effect of both yield locus and hardening model choices is presented for two applications: plane strain tensile test and Single Point Incremental Forming (SPIF).     

纳米碳管/铝基复合材料的制备及摩擦磨损性能研究

利用粉末冶金法制备纳米碳管/铝基复合材料,研究不同纳米碳管含量对复合材料硬度和稳态摩擦磨损行为的影响,采用扫描电子显微镜观察复合材料的磨损表面形貌,并对其磨损机制进行探讨.结果表明:随着纳米碳管质量分数的增加,复合材料的硬度呈现先增大而后减小的趋势,含质量分数为2%的纳米碳管复合材料硬度比铝增加约80%;复合材料的摩擦系数逐渐降低,磨损率先减小而后增大;含质量分数为1%的纳米碳管复合材料磨损机制为磨粒磨损和粘着磨损,而含质量分数为2%的纳米碳管复合材料以剥层磨损和疲劳磨损为主.     

纳米二氧化硅水溶胶成膜特性研究

研究了纳米SiO2水溶胶的固液二相流成膜特性．结果表明，水溶胶中的Si02固体颗粒的粒径及质量分数对粘度的影响较小，对成膜能力和承载能力的影响较大；在薄膜润滑阶段，固体颗粒的粒径和质量分数对润滑状态的稳定性具有一定的影响，随着速度的增加，液体膜厚度逐渐增大，固体颗粒对液体润滑膜稳定性及性能的影响逐渐减弱；在弹流润滑阶段，固体颗粒的影响很小。     

Seismic behavior of insulated hollow-brick cavity walls using quasi-static experimentation

This paper focuses on an experimental investigation of different types of insulated hollow-brick cavity walls, i.e., walls with a door opening, with a window opening and without any opening, characterized with different tie bar arrangements, subjected to slowly applied cyclic loads. The cracking and damage patterns, strength and stiffness degradation and deterioration, energy dissipation capacity and hysteretic feature are analyzed. Based on the experimental results, the formulae of calculation for the cracking load and the ultimate load of cavity wall are mathematically established. The evaluation equation of strength and stiffness degradation of walls is presented and its parameters are numerically given from regression results. The original characteristic curves of recovery force-displacement of actual specimens under cyclic loads are discussed, and then a standard recovery force-displacement model is suggested with convenient forms for implementation.     

QUALITATIVE ANALYSIS OF DYNAMICAL BEHAVIOR FOR AN IMPERFECT INCOMPRESSIBLE NEO-HOOKEAN SPHERICAL SHELL

IntroductionIn applications, it is commonly considered that the phenomena of cavity formation,growth and run-through of adjacent cavities occur in materials as precursors to failure. Thesephenomena are mainly due to instability of materials. On the other …     

Axisymmetric bifurcation analysis in soils by the tangential-subloading surface model

This article discusses localized bifurcation modes corresponding to shear band formation and diffuse bifurcation modes corresponding to bulge formation for cylindrical soil specimen subjected to an axisymmetric load under undrained conditions. We employ the tangential-subloading surface model, which exhibits the characteristic regimes of the governing equations: elliptic, hyperbolic and parabolic. Also, conditions for shear band formation, shear band inclination, diffuse bulging formation, and the long and short wavelength limits of diffuse bulging modes are discussed in relation to material properties and their state of stress, i.e. the stress ratio and the normal-yield ratio. Tangential-plastic strain rate term is required for the analyses of shear band and diffuse bulging. The shear band and the diffuse bulging are generated in not only normal-yield but also subyield states and they are severely affected by the normal-yield ratio describing the degree of approach to the normal-yield state.